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Answers by Kurt T.

A trapezoid has one pair of parallel sides.  Draw a transversal perpendicular to the two parallel sides.  The area of the trapezoid is equal to the length (which is the mean length of the two parallel sides) times the width (which is the part of the transversal between the parallel...

x-y=120 x+y=150 (answer)

Rewrite both equations so that x is isolated. x = 120 + y x = 150 - y Since both [120 + y] and [150 - y] are equal to x, they must be equal to each other.   120 + y = 150 - y 2y = 30   y = 15   x = 135  ...

Because we know that the total weight of the feed is 60 pounds, we can call the weight of one of the feeds x and the other 60-x.  Let's say x is the blue nag feed.  Then... Protein in blue nag = 0.17x Protein in green pasture = 0.25 (60-x) = 15 - 0.25x Total...

Word Problem (answer)

If a number is 128 percent too high, that means it is 228 percent of the actual number. So set up a ratio and cross multiply.   9120 / 228 = x / 100   912000 = 228x   x = 4000    

Probability (answer)

Assuming the die is fair, past rolls do not matter.  There are six sides, and four of them are greater than 2.  The probability is 4/6 or 2/3.

Think about it.  There is one way (1234) to choose four out of four, four ways (123, 124, 134, 234) to choose three out of four, six ways (12, 13, 14, 23, 24, 34) to choose two out of four, and four ways (1, 2, 3, 4) to choose one out of four.  Fifteen possible combinations in all. You...

We know the two runners are closing at a combined rate of 12mph and that the trail is 8 miles long.  So the runners will meet after 8/12 hour = 2/3 hour = 40 minutes.   Check:  In 2/3 of an hour, runner 1 will cover 3 1/3 miles and runner 2 will cover 4 2/3 miles.  3...

Scores are x and x + 9   x + 9 = 56% of total and x = 44% Set up a proportion and cross-multiply:   x / 44 = (x + 9) / 56   56x = 44 (x + 9)   56x = 44x + 396   12x = 396 x = 33 So...